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Finding the Fourth Proportional to 105,860.32, 159,424.22 and 96,412.48

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Solution

The fourth proportional to 105,860.32, 159,424.22 and 96,412.48 is: 145,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,860.32 : 159,424.22 = 96,412.48 : x
  2. Step 2: Convert to fraction form
    105,860.32/159,424.22 = 96,412.48/x
  3. Step 3: Cross multiply
    105,860.32x = 159,424.22 × 96,412.48
  4. Step 4: Simplify right side
    105,860.32x = 15,370,484,422.27
  5. Step 5: Solve for x
    x = 15,370,484,422.27/105,860.32
  6. Step 6: Final answer
    x = 145,195.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.